4.03 Compare and graph two patterns
Are you ready?
Do you remember how to continue number patterns? Let's try this problem to practice.
Look at the following Input/Output table and then fill in the blank:
| Input | Output |
|---|---|
| $40$40 | $45$45 |
| $80$80 | $85$85 |
| $120$120 | $125$125 |
| $160$160 | $165$165 |
| $200$200 | $205$205 |
Each output is $\editable{}$ more than the input.
Which of the following best describes the pattern above?
Add $8$8
AAdd $5$5
B
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This video looks at how we can plot points from a table of ordered pairs.
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Question 1
Think about the two patterns:
Pattern $A$A: start at $0$0 and add $2$2 each time
Pattern $B$B: start at $0$0 and add $4$4 each time
Use the patterns to complete the table:
Position 1st 2nd 3rd 4th Pattern $A$A $0$0 $\editable{}$ $\editable{}$ $\editable{}$ Pattern $B$B $0$0 $\editable{}$ $\editable{}$ $\editable{}$ Plot Pattern $A$A on the coordinate plane as a set of ordered pairs, where the $x$x-value is the position of a value in the pattern.
Loading Graph...Plot Pattern $B$B on the coordinate plane as a set of ordered pairs, where the $x$x-value is the position of a value in the pattern.
Loading Graph...How can we describe the relationship between Pattern $A$A and Pattern $B$B?
The values in Pattern $A$A are $2$2 more than the values in Pattern $B$B.
AThe values in Pattern $A$A are double the values in Pattern $B$B.
BThe values in Pattern $A$A are half the values in Pattern $B$B.
CThe values in Pattern $A$A are $2$2 less than the values in Pattern $B$B.
D
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This video looks at how we can compare number patterns and find a relationship between them.
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Question 2
Two patterns are plotted on the coordinate plane, with the $x$x-values representing the position in the pattern.
Pattern $P$P is represented by the filled points, and Pattern $Q$Q is represented by the hollow points.
Which relationship describes the two patterns?
The values in Pattern $P$P are $2$2 more than the values in Pattern $Q$Q.
AThe values in Pattern $P$P are half the values in Pattern $Q$Q.
BThe values in Pattern $P$P are $2$2 less than the values in Pattern $Q$Q.
CThe values in Pattern $P$P are double the values in Pattern $Q$Q.
DWhich pattern is increasing at a faster rate?
Pattern $P$P
APattern $Q$Q
BThey are increasing at the same rate.
CWhich pattern has a greater starting value?
Pattern $P$P
APattern $Q$Q
BThey have the same starting value.
C
When plotting points onto the coordinate plane, the $x$x-value is the value along the horizontal axis and the $y$y-value is the value along the vertical axis.